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Calculus Applications and Technology 3rd Edition by Edmond Tomastik ISBN 0534464963 9780534464967

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Calculus Applications and Technology 3rd Edition Edmond C. Tomastik Digital Instant Download

Author(s): Edmond C. Tomastik
ISBN(s): 9780534464967, 0534464963
Edition: 3rd Edition
File Details: PDF, 7.60 MB
Year: 2004
Language: english
SKU: EB-2390946 Category: Tag:

Calculus Applications and Technology 3rd Edition by Edmond Tomastik – Ebook PDF Instant Download/Delivery: 0534464963 ,9780534464967
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Product details:
ISBN 10: 0534464963
ISBN 13: 9780534464967
Author: Edmond Tomastik

CALCULUS: APPLICATIONS AND TECHNOLOGY is a modern text that is guided by four basic principles: The Rule of Four, technology, the Way of Archimedes, and an exploratory teaching method. Where appropriate, each topic is presented graphically, numerically, algebraically, and verbally, helping students gain a richer, deeper understanding of the material. A pronounced emphasis in the text on technology, whether graphing calculators or computers, permits instructors to spend more time teaching concepts. Additionally, applications play a central role in the text and are woven into the development of the material. More than 500 referenced exercises and hundreds of data sets contained in the text make this text useful and practical for students. Most importantly, this text lets students investigate and explore calculus on their own, and discover concepts for themselves.
 

Calculus Applications and Technology 3rd Edition Table of contents:

Chapter 1: Functions and Their Graphs

  • Review of Functions
  • Graphs of Functions
  • Transformations of Functions
  • Linear and Nonlinear Functions
  • Technology for Graphing Functions

Chapter 2: Limits and Continuity

  • The Concept of a Limit
  • Calculating Limits
  • Continuity and Discontinuity
  • Limits at Infinity
  • The Squeeze Theorem
  • Applications of Limits with Technology

Chapter 3: Derivatives

  • The Definition of the Derivative
  • Differentiation Rules
  • Higher Derivatives
  • Derivatives of Trigonometric, Exponential, and Logarithmic Functions
  • Applications of Derivatives (Rates of Change, Motion)
  • Using Technology to Find Derivatives

Chapter 4: Applications of Derivatives

  • Maximum and Minimum Values
  • The Mean Value Theorem
  • Curve Sketching
  • Optimization Problems
  • Related Rates
  • Using Technology to Analyze Graphs

Chapter 5: Integration

  • The Definite Integral
  • Antiderivatives and Indefinite Integrals
  • Fundamental Theorem of Calculus
  • Techniques of Integration
  • Substitution and Integration by Parts
  • Using Technology for Integration

Chapter 6: Applications of Integration

  • Area Under a Curve
  • Volume of Solids of Revolution
  • Work and Fluid Pressure
  • Average Value of a Function
  • Using Technology for Solving Applications

Chapter 7: Techniques of Integration

  • Integration by Substitution
  • Integration by Parts
  • Partial Fractions
  • Trigonometric Integrals
  • Numerical Integration Methods
  • Using Technology to Solve Integrals

Chapter 8: Series and Sequences

  • Sequences and Series
  • Convergence and Divergence
  • Power Series and Taylor Series
  • Approximation with Series
  • Applications of Series
  • Using Technology to Analyze Series

Chapter 9: Multivariable Calculus

  • Functions of Several Variables
  • Partial Derivatives
  • Multiple Integrals
  • Applications of Multivariable Calculus
  • Technology in Multivariable Calculus

Chapter 10: Differential Equations

  • First-Order Differential Equations
  • Second-Order Linear Differential Equations
  • Applications of Differential Equations
  • Using Technology to Solve Differential Equations

Appendix

  • Additional Review Topics
  • Answers to Selected Exercises

Glossary

Index

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Edmond Tomastik,Calculus Applications,Technology